 Hello and how are you all today? The question says if the mean of the following data is 18.75, find the value of p. Now here the data which is given to us having x as 10, 15, p 25, 30 and frequency that is f i as 5, 10, 7, 8 and 2 respectively. So first of all we need to draw a table. Now here we have written down our x and f here. What we need to do next is we need to multiply them to find out f i x i that is 10 into 5 giving us 50, 50 into 10 giving us 150, p into 7 gives us 7p, 25 into 8 gives us 200 and 302 gives us 60. Now let us find out the sum of frequency and the sum of the product of frequency with x that is summation of frequencies is equal to total of these that is 32 and summation of f i x i is equal to 46, we are given that mean is equal to 18.75 right. We know that the formula for mean using this method is summation of f i into x i upon summation of f i that is 18.75. Further we just need to substitute these two values that we have found out above that is 460 plus 7p upon 32 equal to 18.75 that further gives us 460 plus 7p is equal to 18.75 into 32. The product of these two comes out to be 600. So this further implies 7p is equal to 600 minus 460. So we have the value of p as 140 divided by 7 that is simplifying gives us the value of p as 20 right. And this is the required answer to the given question. So hope you understood the whole concept well. Do remember to take care of your calculations and have a nice day.